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56497792638096 = 2436196119121881
BaseRepresentation
bin11001101100010011010101…
…10111000101110010010000
321102001010200022100221000000
430312021222313011302100
524401124434403404341
6320054421100130000
714620554653511345
oct1466115267056220
9242033608327000
1056497792638096
11170026410602a7
126405798536900
13256a9467c2324
14dd47173c47cc
1567e985a578b6
hex33626adc5c90

56497792638096 has 560 divisors, whose sum is σ = 176519132052480. Its totient is φ = 17456249088000.

The previous prime is 56497792638071. The next prime is 56497792638097. The reversal of 56497792638096 is 69083629779465.

56497792638096 is a `hidden beast` number, since 5 + 6 + 497 + 7 + 9 + 2 + 6 + 38 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (56497792638097) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2582037076 + ... + 2582058956.

It is an arithmetic number, because the mean of its divisors is an integer number (315212735808).

Almost surely, 256497792638096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56497792638096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88259566026240).

56497792638096 is an abundant number, since it is smaller than the sum of its proper divisors (120021339414384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56497792638096 is a wasteful number, since it uses less digits than its factorization.

56497792638096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22178 (or 22157 counting only the distinct ones).

The product of its (nonzero) digits is 7407106560, while the sum is 81.

The spelling of 56497792638096 in words is "fifty-six trillion, four hundred ninety-seven billion, seven hundred ninety-two million, six hundred thirty-eight thousand, ninety-six".